Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th August 1991

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
2
Bounds3 marks
A rectangle is 5 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 112.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + 5b and vector RS = 24a + 20b. What does this show about PQ and RS?

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